Salusbury, Thomas, Mathematical collections and translations (Tome I), 1667

Table of figures

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    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="040/01/955.jpg" pagenum="262"/>
              that the part towards the leſſer Magnitudes is
                <lb/>
              more than triple the remaining part; and alſo
                <lb/>
              one may take a diſtance that is to the ſame leſs
                <lb/>
              than triple.</s>
            </p>
            <p type="main">
              <s>
                <emph type="italics"/>
              In the Ballance B E let there be Magnitudes, ſuch as were ſpoken off,
                <lb/>
              from which let there be other Magnitudes taken away that were to
                <lb/>
              one another as they were diſpoſed in the precedent, and let it be of
                <lb/>
              the compound of all
                <lb/>
              the A A: the reſt
                <emph.end type="italics"/>
                <lb/>
                <figure id="id.040.01.955.1.jpg" xlink:href="040/01/955/1.jpg" number="174"/>
                <lb/>
                <emph type="italics"/>
              in which are C
                <lb/>
              ſhall be diſtributed
                <lb/>
              in the ſame order,
                <lb/>
              but the greateſt de­
                <lb/>
              ficient. </s>
              <s>Let E D be
                <lb/>
              triple to D B; and
                <lb/>
              G F triple to F B.
                <lb/>
              </s>
              <s>D ſhall be the Center
                <lb/>
              of the
                <emph.end type="italics"/>
              Equilibrium
                <lb/>
                <emph type="italics"/>
              of the compound con­
                <lb/>
              ſiſting of all the A A;
                <lb/>
              and F that of the
                <lb/>
              compound of all the
                <lb/>
              C C. </s>
              <s>Wherefore the
                <lb/>
              Center of the com­
                <lb/>
              pound of both A A
                <lb/>
              and C C falleth be­
                <lb/>
              tween D and F. </s>
              <s>Let
                <lb/>
              it be O. </s>
              <s>It is there­
                <lb/>
              fore manifeſt that
                <lb/>
              E O is more than triple to O B; but G O leſs thantriple to the
                <lb/>
              ſame O B: Which was to be demonſtrated.
                <emph.end type="italics"/>
              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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